On the leading eigenvalue of transfer operators of the Farey map with real temperature
arXiv:1410.8069 · doi:10.1016/j.chaos.2014.12.004
Abstract
We study the spectral properties of a family of generalized transfer operators associated to the Farey map. We show that when acting on a suitable space of holomorphic functions, the operators are self-adjoint and the positive dominant eigenvalue can be approximated by means of the matrix expression of the operators.
9 pages, 3 figures